Rita, Sita and Meeta are employed to do a piece of work for Rs 625. Rita and Sita together are supposed to do `(17)/(23)` of the work. What should Meeta be paid?

Options

A. Rs 162.04
B. Rs 163.04
C. Rs 161.04
D. None of these

Answer

To find out how much Meeta should be paid, we can follow these steps:

### Step 1: Determine the total work done by Rita and Sita
Rita and Sita together are supposed to do \( \frac{17}{23} \) of the total work.

### Step 2: Calculate the work done by Meeta
Since the total work is considered as 1 (or 100%), the work done by Meeta will be the remaining part of the work:
\[ \text{Work done by Meeta} = 1 - \frac{17}{23} \]
To perform this calculation, we need a common denominator:
\[ 1 = \frac{23}{23} \]
Thus,
\[ \text{Work done by Meeta} = \frac{23}{23} - \frac{17}{23} = \frac{6}{23} \]

### Step 3: Determine the total payment for the work
The total payment for the work is Rs 625.

### Step 4: Calculate Meeta's share of the payment
To find out how much Meeta should be paid, we need to calculate her share based on the work she has done:
\[ \text{Meeta's payment} = \text{Total payment} \times \text{Meeta's share of work} \]
Substituting the values we have:
\[ \text{Meeta's payment} = 625 \times \frac{6}{23} \]

### Step 5: Perform the calculation
Now, we will calculate:
\[ \text{Meeta's payment} = 625 \times \frac{6}{23} = \frac{3750}{23} \]
Calculating \( \frac{3750}{23} \):
\[ 3750 \div 23 \approx 163.04 \]

### Final Answer
Thus, Meeta should be paid approximately Rs 163.04.

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